| Mean- Is the
average of a group of numbers. You add all values together
then divide by the total number of values.
Example:
12, 23, 34, 56, 3, 4, 22, 77, 87, 9 : The sum of this list
is 327.
So you then divide 332 by 10 (the total # of values) So the
Mean is 32.7.
Median- Is the value half way through the
ordered data set, below and above which there lies an equal
number of data values.
It is generally a good descriptive measure of the location
which works well for skewed data, or data with outliers.
Example:
Data 96, 48, 27, 72, 39, 70, 7, 68, 99, 36,
95, 4, 6, 13, 34, 74, 65, 42, 28, 54, 69.
Ordered Data 4, 6, 7, 13, 27, 28, 34, 36,
39, 42, 48, 54, 65, 68, 69, 70, 72, 74, 95,
96, 99.
Median is 48, leaving ten values below and ten values above.
You can also find the Median with an even set of data.
Example:
Data 12, 4, 6, 8, 10, 3, 7, 11.
Ordered Data 3, 4, 6, 7, 8,
10, 11, 12.
So, the Median values here are 7and 8.
So, you would then take 7and 8 and add them together. Then
you would take that sum and then divide it by 2 to get the
Median (you divide it by 2 because you had 2 values to begin
with).
7+8 = 15
15 divided by 2 = 7.5
So the Median here is 7.5!
Mode- Is the most frequently
occurring value in a set of discrete data. There can be more
than one mode if two or more values are equally common.
Example:
Here are the results from a test given to 9 students.
Then find the mode (most common score) So the Mode is 90.
Also in some cases a Mode does not exist.
Example:
2,3,4,5,6,7,8
Because no number is repeated there is no mode.
Example:
2, 3, 5, 7, 10, 5, 3.
In this case both 3 and 5 occur twice. Therefore, the data
is bimodal. |